Nous donnons une nouvelle construction cohomologique du cœur de l'invariant de Casson et nous donnons un nouveau calcul de ses valeurs sur les générateurs du sous- groupe de Johnson du mapping class group.
We give a new cohomological construction of the core of Casson's invariant and give a new computation of its values on the generators of the Johnson subgroup of the mapping class group.
Classification : 57M27, 20J05
Mots clés : invariant de Casson, groupe de Torelli, mapping class group
@article{AIF_2001__51_6_1741_0, author = {Pitsch, Wolfgang}, title = {Une construction intrins\`eque du c\oe ur de l'invariant de Casson}, journal = {Annales de l'Institut Fourier}, pages = {1741--1761}, publisher = {Association des Annales de l'institut Fourier}, volume = {51}, number = {6}, year = {2001}, doi = {10.5802/aif.1873}, zbl = {0983.57010}, language = {fr}, url = {archive.numdam.org/item/AIF_2001__51_6_1741_0/} }
Pitsch, Wolfgang. Une construction intrinsèque du cœur de l'invariant de Casson. Annales de l'Institut Fourier, Tome 51 (2001) no. 6, pp. 1741-1761. doi : 10.5802/aif.1873. http://archive.numdam.org/item/AIF_2001__51_6_1741_0/
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